55506 has 24 divisors (see below), whose sum is σ = 125424. Its totient is φ = 16240.

The previous prime is 55501. The next prime is 55511. The reversal of 55506 is 60555.

55506 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55501) and next prime (55511).

It is not an unprimeable number, because it can be changed into a prime (55501) by changing a digit.

55506 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900 + ... + 1928.

It is an arithmetic number, because the mean of its divisors is an integer number (5226).

2⁵⁵⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62712).

55506 is an abundant number, since it is smaller than the sum of its proper divisors (69918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55506 is a wasteful number, since it uses less digits than its factorization.

55506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55506 is about 235.5971137344. The cubic root of 55506 is about 38.1457926534.

Subtracting from 55506 its product of nonzero digits (750), we obtain a square (54756 = 234²).

It can be divided in two parts, 55 and 506, that added together give a triangular number (561 = T₃₃).

The spelling of 55506 in words is "fifty-five thousand, five hundred six".